11121211101011 has 8 divisors (see below), whose sum is σ = 12132623812800. Its totient is φ = 10109863976040.

The previous prime is 11121211100971. The next prime is 11121211101071. The reversal of 11121211101011 is 11010111212111.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11121211101011 - 2¹⁰ = 11121211099987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11121211101071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16041821 + ... + 16720718.

It is an arithmetic number, because the mean of its divisors is an integer number (1516577976600).

Almost surely, 2^{11121211101011} is an apocalyptic number.

11121211101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11121211101011 is a deficient number, since it is larger than the sum of its proper divisors (1011412711789).

11121211101011 is a wasteful number, since it uses less digits than its factorization.

11121211101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32793409.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 11121211101011 its reverse (11010111212111), we get a palindrome (22131322313122).

The spelling of 11121211101011 in words is "eleven trillion, one hundred twenty-one billion, two hundred eleven million, one hundred one thousand, eleven".